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Gaussian Chaos Laws on Banach Function Spaces

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Abstract

We give a characterization of Gaussian chaos laws on Banach function spaces which do not contain ℓ n∞ 's uniformly. The result is applied to describe the convergence in law of U-processes with sample paths in certain Banach function spaces.

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Authors and Affiliations

  1. Institute of Mathematics, Akademijos 4, LT-08663, Vilnius, Lithuania

    R. Norvaisa

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  1. R. Norvaisa
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Published in Lietuvos Matematikos Rinkinys, Vol. 45, No. 4, pp. 553–566, October–December, 2005.

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Norvaisa, R. Gaussian Chaos Laws on Banach Function Spaces. Lith Math J 45, 447–457 (2005). https://doi.org/10.1007/s10986-006-0007-1

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  • DOI: https://doi.org/10.1007/s10986-006-0007-1

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